doiSerbia

Fractals through modified iteration scheme

Kang Shinmin (Gyeongsang National University, Department of Mathematics and RINS, Jinju, Korea + China Medical University, Center for General Education, Taichung, Taiwan)
Rafiq Arif (Virtual University of Pakistan, Department of Mathematics and Statistics, Lahore, Pakistan)
Latif Abdul (King Abdulaziz University, Department of Mathematics, Jeddah, Saudi Arabia)
Shahid Abdul Aziz (Lahore Leads University, Department of Mathematics, Lahore, Pakistan)
Alif Faisal (Bahauddin Zakariya University, Center for Advanced Studies in Pure and Applied Mathematics, Multan, Pakistan)

In this paper we study the geometry of relative superior Mandelbrot sets through S-iteration scheme. Our results are quit significant from other Mandelbrot sets existing in the literature. Besides this, we also observe that S-iteration scheme converges faster than Ishikawa iteration scheme. We believe that the results of this paper can be inspired thosewho are interested in creating automatically aesthetic patterns.

Keywords: relative superior Mandelbrot set, S-iteration scheme, complex dynamics